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Variational principles in physics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Variational principles in physicsby Jean-Louis Basdevant.
作者:	Basdevant, J.-L.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	xiii, 242 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Variational principles.
電子資源:	https://doi.org/10.1007/978-3-031-21692-3
ISBN:	9783031216923$q(electronic bk.)

Variational principles in physics
Basdevant, J.-L.

Variational principles in physics[electronic resource] /by Jean-Louis Basdevant. - Second edition. - Cham :Springer International Publishing :2023. - xiii, 242 p. :ill., digital ;24 cm.

Chapter 1. Structure of physical theories -- Chapter 2. Variational Principles -- Chapter 3. The Analytical Mechanics of Lagrange -- Chapter 4. Hamilton's canonical formalism -- Chapter 5. Action, Optics, Hamilton-Jacobi equation -- Chapter 6. Lagrangian Field Theory -- Chapter 7. Motion in a Curved Space -- Chapter 8. Gravitational waves -- Chapter 9. Feynman's Path Integrals in quantum Mechanics.

This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions.

ISBN: 9783031216923$q(electronic bk.)

Standard No.: 10.1007/978-3-031-21692-3doiSubjects--Topical Terms:

338124
Variational principles.

LC Class. No.: QC174.17.V35 / B37 2023

Dewey Class. No.: 531.01515

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505 0 $a Chapter 1. Structure of physical theories -- Chapter 2. Variational Principles -- Chapter 3. The Analytical Mechanics of Lagrange -- Chapter 4. Hamilton's canonical formalism -- Chapter 5. Action, Optics, Hamilton-Jacobi equation -- Chapter 6. Lagrangian Field Theory -- Chapter 7. Motion in a Curved Space -- Chapter 8. Gravitational waves -- Chapter 9. Feynman's Path Integrals in quantum Mechanics.
520 $a This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions.
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650 2 4 $a Calculus of Variations and Optimization. $3 913393
650 2 4 $a Optimization. $3 274084
650 2 4 $a Engineering Mechanics. $3 913404
650 2 4 $a Philosophical Foundations of Physics and Astronomy. $3 913461
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